2022 AMC 8 Problem 12
Attempt Problem 12 of the 2022 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
The arrows on the two spinners shown below are spun. Let the number equal times the number on Spinner A, added to the number on Spinner B. What is the probability that is a perfect square number?
Answer: B
Small hint:
Spinner A gives the tens digit and spinner B gives the ones digit
Big hint:
Check which two-digit squares have tens digit and ones digit
Solution:
Spinner A gives the tens digit and Spinner B gives the ones digit. There are equally likely two-digit numbers.
The possible perfect squares between and are and , and both can occur. Thus the probability is
Thus, the correct answer is B.
Problem 12 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
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- 1991 AMC 8
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